Domain and Range of Radical Functions
Read this topicExplanations 3
- (Video) Domain and Range of Square Root Functions by drmikedcook Here's a video by drmikedcook showing you how to graph the square root function and find its domain and range. S…
By Alex Federspiel, Anusha Rahman
- ##Find the domain and range of a radical function Finding the domain and range of a radical function is very similar to finding the domain and range of other functions. The doma…
By Trisha, Anusha Rahman
- Domain and Range of Radical Functions This next set of lessons will dive deeper into graphing radical functions. Let's look at the radical function in the image above: y=x−4+2y=…
By Anusha Rahman
Problems 7
- What is the domain of f(x)=1+x+1−xf(x) = \sqrt{1+x} + \sqrt{1-x}f(x)=1+x+1−x?
- For how many values of xxx is −(x+1)2\sqrt{-(x+1)^2}−(x+1)2 a real number?
- What is the domain of f(x)=3−x+25−x2f(x) = \sqrt{3 - x} + \sqrt{25 - x^2}f(x)=3−x+25−x2?
- What is the range of f(x)=x+1−xf(x) = \sqrt{x} + \sqrt{1 - x}f(x)=x+1−x? (Hint: The maximum value of f(x)f(x)f(x) occurs at x=12x = \frac{1}{2}x=21 .)
- Let f(x)=xf(x) = \sqrt{x}f(x)=x. Is fff bounded? That is to say, does there exist a positive value BBB such that ∣f(x)∣<B|f(x)| < B∣f(x)∣<B for all xxx?
- Find the domain and range of y=−3x+4y=-\sqrt{3x+4}y=−3x+4.
- What quadrant is the function y=−−3xy=-\sqrt{-3x}y=−−3x in?